$$ \begin{aligned} 13x-6 &= 8x+19&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ -6 }$ to the right} \\[1 em]13x-8x &= 19+6&& \text{simplify left and right hand side} \\[1 em]5x &= 25&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{25}{5}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$
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